对随机性复合标底法投标报价策略的研究

Bidding strategy for random composite base method based on game theory

基于博弈论中的混合战略纳什均衡,采用概率理论和数值分析理论研究随机性复合标底法中最优投标报价,利用二次多项式等效非线性函数,给出连续型随机性复合标底法下最优报价的解析计算式,对于离散型随机性复合标底法可采用连续型等效,也可采用枚举法结合Matlab编程求解,通过工程实际竞标案例,验证该理论具有极好的工程实际应用价值。

Based on the mixed strategy Nash equilibrium of the game theory,the probability theory and numerical analysis theory are used to study the optimal bidding for the random composite base method. Using the quadratic polynomial equivalent nonlinear function,the analytic formula for the optimal bidding under continuous random complex base method is given. For the discrete random complex base method,it can be solved by the continuous equivalent composite base or by the enumeration method combining with MATLAB programming solver. Through bidding case of practical project, the excellent practical engineering value of the proposed theory is validated.